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2992286674944 = 212327172943547
BaseRepresentation
bin101011100010110010001…
…011110011000000000000
3101121001121121021202122100
4223202302023303000000
5343011200342044234
610210345412110400
7426120440034660
oct53426213630000
911531547252570
102992286674944
11a54026901476
12403b12905400
1318922c800738
14a4b827341a0
1552c824c4399
hex2b8b22f3000

2992286674944 has 1248 divisors, whose sum is σ = 11091678174720. Its totient is φ = 757447262208.

The previous prime is 2992286674933. The next prime is 2992286674957. The reversal of 2992286674944 is 4494766822992.

2992286674944 is a `hidden beast` number, since 29 + 92 + 28 + 6 + 6 + 7 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (752467968) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5470359279 + ... + 5470359825.

It is an arithmetic number, because the mean of its divisors is an integer number (8887562640).

Almost surely, 22992286674944 is an apocalyptic number.

2992286674944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992286674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545839087360).

2992286674944 is an abundant number, since it is smaller than the sum of its proper divisors (8099391499776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2992286674944 is a wasteful number, since it uses less digits than its factorization.

2992286674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 2992286674944 in words is "two trillion, nine hundred ninety-two billion, two hundred eighty-six million, six hundred seventy-four thousand, nine hundred forty-four".